The diagram shows a parallelogram.
2x
3х - 15
(2x+24
2x
Work out the value of x.

Answer:
x = 39
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary.
[tex] \implies \: 2x \degree + (2x + 24) \degree = 180 \degree \\ \\ \implies \: (2x + 2x +24) \degree = 180 \degree \\ \\ \implies \: (4x +24) \degree = 180 \degree \\ \\ \implies \: 4x +24 = 180 \\ \\ \implies \: 4x = 180 - 24 \\ \\ \implies \: 4x = 156\\ \\ \implies \: x= \frac{156}{4} \\ \\ \implies \: \huge \: x = 39\\ \\ [/tex]